Find the line integral with respect to arc length (2x + 6y)ds, where C is the line segment in the xy-plane with endpoints P = (6,0) and Q (0, 4). (a) Find a vector parametric equation 7(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. T(t) = (b) Using the parametrization in part (a), the line integral with respect to arc length is (2x + 6y)ds = dt with limits of integration a = and b = (c) Evaluate the line integral with respect to arc length in part (b). (2x + 6y)ds =

Find the line integral with respect to arc length (2x + 6y)ds, where C is the line segment in the xy-plane with endpoints P = (6,0) and Q (0, 4). (a) Find a vector parametric equation 7(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. T(t) = (b) Using the parametrization in part (a), the line integral with respect to arc length is (2x + 6y)ds = dt with limits of integration a = and b = (c) Evaluate the line integral with respect to arc length in part (b). (2x + 6y)ds =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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